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Finding the Third Proportional to 13,173.63 and 23,423.38

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Solution

The third proportional to 13,173.63 and 23,423.38 is: 41,647.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,173.63 : 23,423.38 = 23,423.38 : x
  2. Step 2: Convert to fraction form
    13,173.63/23,423.38 = 23,423.38/x
  3. Step 3: Cross multiply
    13,173.63x = 23,423.38 × 23,423.38
  4. Step 4: Simplify right side
    13,173.63x = 548,654,496.39
  5. Step 5: Solve for x
    x = 548,654,496.39/13,173.63
  6. Step 6: Final answer
    x = 41,647.95

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.